The story of SRCF seems to begin with Lagrange, who mentioned in
[1]} the possibility of introducing signs in the
partial numerators of regular continued fractions and gave the way for
transforming such continued fractions into regular ones. Tietze [2]}
proved the convergence of SRCF and the irrationality of their values. Chapter
5 of Perron's classical book [3]} is entirely devoted to SRCF. Holzbaur
and Riederle [4]} characterized SRCF which represent quadratic
irrationals. Pinner [5]} computed certain inhomogeneous approximation
constants by using NCF expansions. Sarma and Kushwaha [6]} examined
precisely the algorithm to convert a SRCF into regular, even or odd continued fractions.
